Finding the Third Proportional to 164,010 and 355,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,010 : 355,222.50 = 355,222.50 : x
2. Step 2: Convert to fraction form
   164,010/355,222.50 = 355,222.50/x
3. Step 3: Cross multiply
   164,010x = 355,222.50 × 355,222.50
4. Step 4: Simplify right side
   164,010x = 126,183,024,506.25
5. Step 5: Solve for x
   x = 126,183,024,506.25/164,010
6. Step 6: Final answer
   x = 769,361.77